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# Questions tagged [averaging]

Averaging is a signal processing technique applied in the time domain, intended to increase the strength of a signal relative to noise that is obscuring it.

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### Exponential weighted moving average time constant

I think it is an easy question but I am stuck. I want to derive that $$\alpha = -e^{\frac{-T}{\tau}}\,.$$ Can someone provide me with an answer? [EDIT] Sorry guys, this was really a senseless ...
186 views

### Larger FFT vs multiple averaged FFTs for detecting small CW signals

I am writing an SDR application which searches for CW signals at various predefined frequencies. Currently, the radio tunes to the appropriate LO frequency and calculates a number of FFTs to produce ...
3k views

### Time synchronous averaging - MATLAB

I have a time domain signal that corresponds to a vibration signal of a machine. I have a second signal that corresponds to a tachometer signal (There is a pulse every one revolution of the shaft). I'...
88 views

### Allan deviation to determine averaging time

Thanks in advance for the help. I don't post on here often, so I hope I can convey my question properly. I think I understand what the Allan deviation (same as IEEE Allan variance?) does. You take a ...
1 vote
617 views

### Averaging data from 2 sensors

Suppose we take a reading of a single rotating axis using 2 identical sensors. Intuitively, I think that averaging the outputs of both sensors will yield a less noisy result. But what if sensor A has ...
3k views

### Does the determination of the ergodicity of a signal force any changes in methodology?

In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over space. -from wikipedia From the perspective ...
1k views

### How to average coherences estimated using Welch's method in MATLAB

I'm trying to estimate the average coherence of discontinuous snippets of a signal in MATLAB. For Welch's spectrum estimates, the following works: ...
114 views

### Averaging of a phase flipping signal

Suppose I want to average a signal $s(t)$ which consists of several spectral components without any DC offset. I sample $M$ points in the time domain. I am interested in the power spectrum which I get ...
402 views

### Slow sampling of signal and averaging over n periods

Can one in theory achieve as high accuracy as needed by sampling a sinusoidal signal over n Periods? Is there a formula that connects the signal frequency (f), sampling frequency (fs), periods (P) and ...
1 vote